code: def trace_map(proxy_mode, func_overload, f, xs, pos_args):
      leading_dim_size = xs[0].shape[0]
  
      example_input = _unstack_pytree(xs)[0]
      body_graph = f
      if not isinstance(body_graph, torch.fx.GraphModule):
          body_graph = make_fx(body_graph)(*example_input, *pos_args)
  
      next_name = None
      i = 0
      while not next_name:
          candidate = f"body_graph_{i}"
          if hasattr(proxy_mode.tracer.root, candidate):
              i += 1
          else:
              next_name = candidate
  
      proxy_mode.tracer.root.register_module(next_name, body_graph)
  
      with disable_proxy_modes_tracing():
          example_outs = body_graph(*example_input, *pos_args)
  
          def expand_tensor(t):
              if isinstance(t, torch.Tensor):
                  return t.expand(leading_dim_size, *t.shape)
              return t
  
          expanded_outs = pytree.tree_map(expand_tensor, example_outs)
  
      node_args = (body_graph, list(xs), list(pos_args))
      proxy_args = pytree.tree_map(
          proxy_mode.tracer.unwrap_proxy, node_args
      )
      out_proxy = proxy_mode.tracer.create_proxy(
          "call_function",
          func_overload,
          proxy_args,
          {},
          name="map_impl",
      )
      return track_tensor_tree(
          expanded_outs,
          out_proxy,
          constant=None,
          tracer=proxy_mode.tracer,
      )
  
imports: from contextlib import nullcontext
  import torch
  import torch.utils._pytree
  from torch._C import DispatchKey
  from torch._dispatch.python import suspend_functionalization
  from torch._functorch.aot_autograd import AOTConfig, create_joint, from_fun
  from torch._higher_order_ops.cond import _has_potential_branch_input_alias, _has_potential_branch_input_mutation, UnsupportedAliasMutationException
  from torch._ops import HigherOrderOperator
  from torch._subclasses.fake_tensor import FakeTensorMode
  from torch._subclasses.functional_tensor import FunctionalTensor, FunctionalTensorMode, unset_functional_temporarily
  from torch.fx.experimental.proxy_tensor import disable_proxy_modes_tracing, make_fx, ProxyTorchDispatchMode, track_tensor_tree
  from torch.multiprocessing.reductions import StorageWeakRef
label_desc: Use image node_id 3 for calling a global function with example usage: trace_map(proxy_mode, func_overload, f, xs, pos_args) and returns: track_tensor_tree, t, t